What is the Greatest Common Factor of 35770 and 35777?

Greatest common factor (GCF) of 35770 and 35777 is 7.

GCF(35770,35777) = 7

We will now calculate the prime factors of 35770 and 35777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35770 and 35777.

How to find the GCF of 35770 and 35777?

We will first find the prime factorization of 35770 and 35777. After we will calculate the factors of 35770 and 35777 and find the biggest common factor number .

Step-1: Prime Factorization of 35770

Prime factors of 35770 are 2, 5, 7, 73. Prime factorization of 35770 in exponential form is:

35770 = 2¹ × 5¹ × 7² × 73¹

Step-2: Prime Factorization of 35777

Prime factors of 35777 are 7, 19, 269. Prime factorization of 35777 in exponential form is:

35777 = 7¹ × 19¹ × 269¹

Step-3: Factors of 35770

List of positive integer factors of 35770 that divides 35770 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 73, 98, 146, 245, 365, 490, 511, 730, 1022, 2555, 3577, 5110, 7154, 17885

Step-4: Factors of 35777

List of positive integer factors of 35777 that divides 35770 without a remainder.

1, 7, 19, 133, 269, 1883, 5111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35770 and 35777. The biggest common factor number is the GCF number.
So the greatest common factor 35770 and 35777 is 7.

Also check out the Least Common Multiple of 35770 and 35777